The IEEE awarded Backus the W. W. McDowell Award in 1967 for the development of FORTRAN.[3] He received the National Medal of Science in 1975[4] and the 1977 ACM Turing Award “for profound, influential, and lasting contributions to the design of practical high-level programming systems, notably through his work on FORTRAN, and for publication of formal procedures for the specification of programming languages”.[5]

After moving to New York City he trained initially as a radio technician and became interested in mathematics. He graduated from Columbia University with a master's degree in mathematics in 1949, and joined IBM in 1950. During his first three years, he worked on the Selective Sequence Electronic Calculator (SSEC); his first major project was to write a program to calculate positions of the Moon. In 1953 Backus developed the language Speedcoding, the first high-level language created for an IBM computer, to aid in software development for the IBM 701 computer.[10]

Programming was very difficult at this time, and in 1954 Backus assembled a team to define and develop Fortran for the IBM 704 computer. Fortran was the first high-level programming language to be put to broad use.

Backus made another, critical contribution to early computer science: during the latter part of the 1950s Backus served on the international committees that developed ALGOL 58 and the very influential ALGOL 60, which quickly became the de facto worldwide standard for publishing algorithms. Backus developed the Backus–Naur form (BNF), in the UNESCO report on ALGOL 58. It was a formal notation able to describe any context-free programming language, and was important in the development of compilers. This contribution helped Backus win the Turing Award.

The Backus Normal form was discovered independently by John Backus; who presented a notation which is equivalent in its power to that of Pāṇini, a grammarian from India who lived sometime between the 4th and 7th century BCE. The notation has many similar properties.[11]

Backus later worked on a "function-level" programming language known as FP which was described in his Turing Award lecture "Can Programming be Liberated from the von Neumann Style?". Sometimes viewed as Backus's apology for creating FORTRAN, this paper did less to garner interest in the FP language than to spark research into functional programming in general. An FP interpreter was distributed with the 4.2BSDUnix operating system. FP was strongly inspired by Kenneth E. Iverson’s APL, even using a non-standard character set. Backus spent the latter part of his career developing FL (from "Function Level"), a successor to FP. FL was an internal IBM research project, and development of the language essentially stopped when the project was finished (only a few papers documenting it remain), but many of the language's innovative, arguably important ideas have now been implemented in versions of the J programming language.